with the gauge transformation lawHere, and often below, we make use of the compact notational convention introduced by Vasiliev
[1]}:
\(V_{ \alpha (n)} U_{\alpha (m) }= V_{ (\alpha _1 \dots \alpha _n} U_{\alpha _{n+1} \dots \alpha _{n+m})}\) .
\(\delta _{\xi }h_{\alpha (n)}=\mathcal {D}_{\alpha (2)}\xi _{\alpha (n-2)}~.\) 
